Question

An experiment has been conducted for four treatments with eight
blocks. Complete the following analysis of variance table (to 2
decimals but *p*-value to 4 decimals, if necessary). If
answer is zero enter "0".

Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F |
p-value |

Treatments | 700 | ||||

Blocks | 400 | ||||

Error | |||||

Total | 1,500 |

Use alpha= .05 to test for any significant differences.

Answer #1

The given ANOVA Table is completed as follows:

Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p - value |

Treatments | 700 | 4-1=3 | 700/3=233.33 | 233.33/19.05=12.25 | 0.0001 |

Blocks | 400 | 8-1=7 | 400/7=57.14 | 57.14/19.05=3.00 | 0.0239 |

Error | 400 | 32-4-8+1=21 | 400/21=19.05 | ||

Total | 1500 | 32-1=31 | |||

For Treatments:

F = 233.33/19.05=12.25

Degrees of Freedom = (3,21). By Technology, p - value = 0.0001

Since p - value = 0.0001 is less than = 0.05, the difference is significant. Reject null hypothesis.

For Blocks:

F = 57.14/19.05=3.00

Degrees of Freedom = (7,21). By Technology, p - value = 0.0239

Since p - value = 0.0239 is less than = 0.05, the difference is significant. Reject null hypothesis.

An experiment has been conducted for four treatments with eight
blocks. Complete the following analysis of variance table (to 2
decimals, if necessary and p-value to 4 decimals). If your answer
is zero enter "0".
Source of Variation Sum of Squares Degrees of Freedom Mean
Square F p-value Treatments 1,100 Blocks 500 Error Total 2,000
Use = .05 to test for any significant differences.
The p-value is
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An experiment has been conducted for four treatments with eight
blocks. Complete the following analysis of variance table (to 2
decimals, if necessary and p-value to 4 decimals). If your
answer is zero enter "0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
900
Blocks
400
Error
Total
1,700

An experiment has been conducted for four treatments with eight
blocks. Complete the following analysis of variance table (to 2
decimals, if necessary and p-value to 4 decimals). If your
answer is zero enter "0".
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F
p-value
Treatments
800
Blocks
300
Error
Total
1,700

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eight blocks. Complete the following analysis of variance table
(to 2 decimals, if necessary and p-value to 4
decimals). If your answer is zero enter "0".
Source of
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Sum of
Squares
Degrees of
Freedom
Mean Square
F
p-value
Treatments
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Error
Total
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and your p-value to three decimal places.)
Source
of Variation
Sum
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Degrees
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Mean
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F
p-value
Treatments
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Error
Total
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Use α = 0.05 to test for any significant
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Sum
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1
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9
2
13
6
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18
16
15
4
21
18
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5
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8
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An experiment has been conducted for four treatments with seven
blocks. Complete the following analysis of variance table. (Round
your values for mean squares and F to two decimal places,
and your p-value to three decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F
p-value
Treatments
300
Blocks
700
Error
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Total
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Use α = 0.05 to test for any significant
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